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Finding the Fourth Proportional to 7,988.84, 11,978.08 and 3,307.58

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Solution

The fourth proportional to 7,988.84, 11,978.08 and 3,307.58 is: 4,959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.84 : 11,978.08 = 3,307.58 : x
  2. Step 2: Convert to fraction form
    7,988.84/11,978.08 = 3,307.58/x
  3. Step 3: Cross multiply
    7,988.84x = 11,978.08 × 3,307.58
  4. Step 4: Simplify right side
    7,988.84x = 39,618,457.85
  5. Step 5: Solve for x
    x = 39,618,457.85/7,988.84
  6. Step 6: Final answer
    x = 4,959.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.